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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 237160h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237160.h1 | 237160h1 | \([0, 1, 0, 180, 3793]\) | \(12544/125\) | \(-6391462000\) | \([]\) | \(124416\) | \(0.56265\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237160h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 237160h do not have complex multiplication.Modular form 237160.2.a.h
sage: E.q_eigenform(10)